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A hand grenade is launched vertically upwards from the horizontal ground with an initial velocity V. During its descending motion, at a certain height h from the ground, the grenade explodes in two identical halves releasing additional kinetic energy that amounts to twice the mechanical energy of the grenade prior to the explosion. Each half travels a different path but both land at exactly the same time. Answer the following questions making the assumption that the effect of air resistance is negligible and can be discarded.

A hand grenade is launched vertically upwards from the horizontal ground with an initial velocity V. During its descending motion, at a certain height h from the ground, the grenade explodes in two identical halves releasing additional kinetic energy that amounts to twice the mechanical energy of the grenade prior to the explosion. Each half travels a different path but both land at exactly the same time. Answer the following questions making the assumption that the effect of air resistance is negligible and can be discarded.

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Please solve part (d)).
A hand grenade is launched vertically upwards from the horizontal ground with an initial velocity Vo. During its descending motion, at a certain heighth from the ground, the grenade explodes in two identical halves releasing additional kinetic energy that amounts to twice the mechanical energy of the grenade prior to the explosion. Each half travels a different path but both land at exactly the same time. Answer the following questions making the assumption that the effect of air resistance is negligible and can be discarded.. (a) What is the maximum vertical position H reached by the grenade and how long time does it take to reach this point ? (b) Indicate the time interval between launching and explosion; 4 (c) Draw a graph showing the vertical and horizontal components of the velocity as a function of time. In other words, draw the V vs. t and the V, vs. t graphs. Make sure to indicate the velocities of both halves on the same graph. (d) Indicate how far apart the two halves land.
Transcribed Image Text:A hand grenade is launched vertically upwards from the horizontal ground with an initial velocity Vo. During its descending motion, at a certain heighth from the ground, the grenade explodes in two identical halves releasing additional kinetic energy that amounts to twice the mechanical energy of the grenade prior to the explosion. Each half travels a different path but both land at exactly the same time. Answer the following questions making the assumption that the effect of air resistance is negligible and can be discarded.. (a) What is the maximum vertical position H reached by the grenade and how long time does it take to reach this point ? (b) Indicate the time interval between launching and explosion; 4 (c) Draw a graph showing the vertical and horizontal components of the velocity as a function of time. In other words, draw the V vs. t and the V, vs. t graphs. Make sure to indicate the velocities of both halves on the same graph. (d) Indicate how far apart the two halves land.
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